Question

The cost decoring the circumference of a circular lawn of a house at rate of ₹ 55 per meter is ₹ 16940 . What is the radius of the lawn​

Answer 1

Answer:

Radius of the lawn is 49 meters.

Step-by-step explanation:

Given,

• The cost decoring the circumference of a circular lawn of a house at rate of ₹ 55 per meter is ₹ 16940.

To find,

• The radius of the lawn

Solution,

First,find the circumference as shown,

$\frac{16940}{55} = 308$

Hence, the circumference is 308 meters.

Now, find the radius:

Circumstance = 2πr

$2\pi\: r \: = 308 \\ \pi \: r = 154 \\ r = 154 \times \frac{7}{22} \\ r = 49$

Hence,the radius of the lawn is 49 meters.

Hope this helps you mate✌✌

Answer 2

Radius = 49 m

Step-by-step explanation:

GIVEN

Cost of decoring the circumference of a circular lawn of a house = ₹55 per meter

Total cost = ₹16940

___________________________

TO FIND

Radius

___________________________

We know that,

Cost of decoring the circumference of a circular lawn of a house is ₹55 per meter and total value is ₹16940

Circumference Of Circle = 16940 / 55

Circumference Of Circle = 308

Circumference Of Circle = 308 m

___________________________

We know that,

Circumference Of Circle = 2 × π × r

308 = 2 × 22/7 × r

Radius = ( 308 × 7 ) / ( 2 × 22 )

Radius = 2156 / 44

Radius = 49

Radius = 49 m